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Finding the Fourth Proportional to 906,896,977.79, 1,251,477,569.97 and 505,031,454.90

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Solution

The fourth proportional to 906,896,977.79, 1,251,477,569.97 and 505,031,454.90 is: 696,920,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,896,977.79 : 1,251,477,569.97 = 505,031,454.90 : x
  2. Step 2: Convert to fraction form
    906,896,977.79/1,251,477,569.97 = 505,031,454.90/x
  3. Step 3: Cross multiply
    906,896,977.79x = 1,251,477,569.97 × 505,031,454.90
  4. Step 4: Simplify right side
    906,896,977.79x = 632,035,537,936,665,600
  5. Step 5: Solve for x
    x = 632,035,537,936,665,600/906,896,977.79
  6. Step 6: Final answer
    x = 696,920,988.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.